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A filter diagonalization for generalized eigenvalue problems based on the Sakurai–Sugiura projection method

✍ Scribed by Tsutomu Ikegami; Tetsuya Sakurai; Umpei Nagashima

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
756 KB
Volume
233
Category
Article
ISSN
0377-0427

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✦ Synopsis

The Sakurai-Sugiura projection method, which solves generalized eigenvalue problems to find certain eigenvalues in a given domain, was reformulated by using the resolvent theory. A new interpretation based on filter diagonalization was given, and the corresponding filter function was derived explicitly. A block version of the method was also proposed, which enabled not only resolution of degenerated eigenvalues, but also an improvement in numerical accuracy. Three numerical examples were provided to illustrate the method.

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